Problems with logic (idea)

A suggested answer to this problem (one I personally disagree with) is to use a basic system of fuzzy logic to accelerate the process of coming to an agreement. The idea behind this method was that you would admit that you probably were't 100% correct, and so give your arguments a value of (0.95) true, and the oppositions an appropriate value. Then, working through slowly and calmly, re-assign values as the conversation goes on (so that both sides can hear the progress numerically), until, probably, both sides are at 0.5:0.5, by which time, I'd imagine, an agreement would have been reached.